\documentclass{article}
%\usepackage{pgfplots}
%\pgfplotsset{compat=newest}
%\pgfplotsset{plot coordinates/math parser=false}
\usepackage{setspace,subfigure}
\usepackage{tikz}
\usetikzlibrary{plotmarks}
\usetikzlibrary{lindenmayersystems}
\usetikzlibrary{decorations.pathmorphing}
\usepackage{geometry}
\geometry{verbose=false,papersize={5.2in,2.4in},body={5.2in,2.4in},marginratio={4:3, 2:3}}% marginratio={horizontal ratio,verticalratio}
\begin{document}
\thispagestyle{empty}
\null\vspace{0pt}
\hspace{-10pt}
\begin{tikzpicture}[font=\Large]
%\path[use as bounding box] (-4,-3.5) rectangle (10,3.5);
%g1
\draw [green, ultra thick,domain=0:2*pi,samples=50] plot ({1.5*cos(\x r) + (0.3/2)*cos((5+1)*\x r)+(0.3/2)*cos((5-1)*\x r)},{sin(\x r) + (0.3/2)*sin((5+1)*\x r) - (0.3/2)*sin((5-1)*\x r)});
\node at (-0.4,1.2) {$\Gamma_1$};
\draw [ultra thick,green,domain=0:2*pi,samples=50] plot ({2.7*cos(\x r)},{2.7*sin(\x r)});
\node at (-2.4,2.3) {$\partial D_1$};
%g2
\draw [purple, ultra thick,domain=0:2*pi,samples=50] plot ({7+1.5*cos(\x r) + (0.3/2)*cos((5+1)*\x r)+(0.3/2)*cos((5-1)*\x r)},{sin(\x r) + (0.3/2)*sin((5+1)*\x r) - (0.3/2)*sin((5-1)*\x r)});
\node at (6.6,1.2) {$\Gamma_2$};
\draw [ultra thick,purple,domain=0:2*pi,samples=50] plot ({7+2.7*cos(\x r)},{2.7*sin(\x r)});
\node at (4.6,2.3) {$\partial D_2$};
\end{tikzpicture}
\end{document}
